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Re: DSolve Problem PDT)

  • To: mathgroup at smc.vnet.net
  • Subject: [mg16286] Re: DSolve Problem PDT)
  • From: "Kevin J. McCann" <kevinmccann at Home.com>
  • Date: Sun, 7 Mar 1999 01:05:27 -0500
  • Organization: @Home Network
  • References: <7bnph7$d1j@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Plug your initial value and t=0 into the differential equation and you
will see why.  Your general problem is, in effect, taking a limit.

Kevin

Horst Finsterbusch wrote in message <7bnph7$d1j at smc.vnet.net>...
>Hello,
>
>Maybe you can help me: I do not understand, why a an
>empty list is in Out[3].
>
>Thanks Horst
>
>In[1]:= DSolve[{x'[t]==x[t]*(1-x[t]),x[a]==b},x[t],t]
>Out[1]= {{x[t] -> b*E^t / (E^a - b*E^a + b*E^t)}}
>In[2]:= % /. {a->0,b->1}
>Out[2]= {{x[t]->1}}
>
>In[3]:= DSolve[{x'[t]==x[t]*(1-x[t]),x[0]==1},x[t],t]
>Out[3]= {}
>




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